I do not know which Bliss, Rebecca you are looking for.
I am researching James Johnson family and he marriedSylvia Bliss Sylvia's father Jerimiah has a sister Rebecca Bliss b. 13 Nov 1803 Greenfield, Saratoga Co., NY d. 18 Feb 1883 Cedar Rapids, Linn Co. IA m. Lemuel Lucore III 18 Dec 1822 in Shippen Township, McKean, PA son of Lemuel Lucore Jr. and Rizpah Hurlbut. He was born 11 Sep 1797 Southampton, Hamps. MA d. 9 Jan 1879 Cedar Rapids, Linn Co. IA
Rebecca and Jeremiah Bliss parents are John Bliss Rev. b. 17 Jan 1760 Middletown, Newport Co. RI., and d. 28 Apr 1845 Genesee Falls, Wyoming Co. NY b. 30 apr 1845 Portageville, Wyoming Co. NY He was the son of William Bliss Rev. and Barbara Phillips he m. 20 Apr1749 Middletown, Newport Co. RI Barbara was the Daughter of John(?) Phillips, she was born 1727 Dartmouth, Bristol co. MA d. 29 Oct 1775 Newport, Newport Co. RI
If this is the one you are looking for go to Rootsweb.com or Ancestry.com and you can find it all under the entry submitted by Cathy Bontekoe Nov 7 2002. This where I found my information.
Hope this is the one you are looking for.